Search a number
-
+
2101400320 = 2852956611
BaseRepresentation
bin111110101000000…
…1101001100000000
312102110011012022111
41331100031030000
513300424302240
6544304145104
7103034415355
oct17520151400
95373135274
102101400320
11989205188
124a7908194
1327648b356
1415d13262c
15c47421ea
hex7d40d300

2101400320 has 72 divisors (see below), whose sum is σ = 5207171760. Its totient is φ = 811560960.

The previous prime is 2101400309. The next prime is 2101400341. The reversal of 2101400320 is 230041012.

It is a super-2 number, since 2×21014003202 = 8831766609792204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101400320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8815 + ... + 65425.

It is an arithmetic number, because the mean of its divisors is an integer number (72321830).

Almost surely, 22101400320 is an apocalyptic number.

2101400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603585880).

2101400320 is an abundant number, since it is smaller than the sum of its proper divisors (3105771440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101400320 is an equidigital number, since it uses as much as digits as its factorization.

2101400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56661 (or 56647 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2101400320 is about 45841.0331471707. The cubic root of 2101400320 is about 1280.8637399366.

Adding to 2101400320 its reverse (230041012), we get a palindrome (2331441332).

The spelling of 2101400320 in words is "two billion, one hundred one million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3712 4640 7424 9280 18560 37120 56611 113222 226444 283055 452888 566110 905776 1132220 1641719 1811552 2264440 3283438 3623104 4528880 6566876 7246208 8208595 9057760 13133752 14492416 16417190 18115520 26267504 32834380 36231040 52535008 65668760 72462080 105070016 131337520 210140032 262675040 420280064 525350080 1050700160 2101400320